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21221340122412 = 223223181442132029
BaseRepresentation
bin1001101001100111110100…
…11100001000110100101100
32210010201222200101011020100
410310303322130020310230
510240142301032404122
6113044540555351100
74320122406540153
oct464637234106454
983121880334210
1021221340122412
116841a13294a31
122468a07a52490
13bac218abb7c1
14535192a3459a
1526c0382a5aac
hex134cfa708d2c

21221340122412 has 144 divisors (see below), whose sum is σ = 56298872710080. Its totient is φ = 6727109875200.

The previous prime is 21221340122393. The next prime is 21221340122441. The reversal of 21221340122412 is 21422104312212.

21221340122412 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 13 + 401 + 2 + 241 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662550414 + ... + 662582442.

It is an arithmetic number, because the mean of its divisors is an integer number (390964393820).

Almost surely, 221221340122412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221340122412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28149436355040).

21221340122412 is an abundant number, since it is smaller than the sum of its proper divisors (35077532587668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21221340122412 is a wasteful number, since it uses less digits than its factorization.

21221340122412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36664 (or 36659 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21221340122412 its reverse (21422104312212), we get a palindrome (42643444434624).

The spelling of 21221340122412 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred forty million, one hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 181 207 276 362 414 543 724 828 1086 1629 2172 3258 4163 4421 6516 8326 8842 12489 13263 16652 17684 24978 26526 32029 37467 39789 49956 53052 64058 74934 79578 96087 101683 128116 149868 159156 192174 203366 288261 305049 384348 406732 576522 610098 736667 800201 915147 1153044 1220196 1473334 1600402 1830294 2210001 2400603 2946668 3200804 3660588 4420002 4801206 5797249 6630003 7201809 8840004 9602412 11594498 13260006 14403618 17391747 18404623 23188996 26520012 28807236 34783494 36809246 52175241 55213869 69566988 73618492 104350482 110427738 133336727 141600209 165641607 208700964 220855476 266673454 283200418 331283214 400010181 424800627 533346908 566400836 662566428 800020362 849601254 1200030543 1274401881 1600040724 1699202508 2400061086 2548803762 3256804807 4800122172 5097607524 6513609614 9770414421 13027219228 19540828842 25629637829 29311243263 39081657684 51259275658 58622486526 76888913487 102518551316 117244973052 153777826974 230666740461 307555653948 461333480922 589481670067 922666961844 1178963340134 1768445010201 2357926680268 3536890020402 5305335030603 7073780040804 10610670061206 21221340122412